Geodesic
Algebraic $K$-theory of the first Morava $K$-theory
Journal of the European Mathematical Society, Tome 14 (2012) no. 4, pp. 1041-1079 Cet article a éte moissonné depuis la source EMS Press

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For a prime p≥5, we compute the algebraic K-theory modulo p and v1​ of the mod p Adams summand, using topological cyclic homology. On the way, we evaluate its modulo p and v1​ topological Hochschild homology. Using a localization sequence, we also compute the K-theory modulo p and v1​ of the first Morava K-theory.
DOI : 10.4171/jems/326
Classification : 19-XX, 55-XX, 00-XX
Keywords: Algebraic K-theory, Morava K-theory, topological cyclic homology, topological Hochschild homology 
@article{JEMS_2012_14_4_a1,
     author = {Christian Ausoni and John Rognes},
     title = {Algebraic $K$-theory of the first {Morava} $K$-theory},
     journal = {Journal of the European Mathematical Society},
     pages = {1041--1079},
     year = {2012},
     volume = {14},
     number = {4},
     doi = {10.4171/jems/326},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/326/}
}
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Christian Ausoni; John Rognes. Algebraic $K$-theory of the first Morava $K$-theory. Journal of the European Mathematical Society, Tome 14 (2012) no. 4, pp. 1041-1079. doi: 10.4171/jems/326

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